Record Details

Cones of closed alternating walks and trails

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Cones of closed alternating walks and trails
 
Creator BHATTACHARYA, A
PELED, UN
SRINIVASAN, MK
 
Subject colored graphs
alternating walks and trails
 
Description Consider a graph whose edges have been colored red and blue. Assign a nonnegative real weight to every edge so that at every vertex, the sum of the weights of the incident red edges equals the sum of the weights of the incident blue edges. The set of all such assignments forms a convex polyhedral cone in the edge space, called the alternating cone. The integral (respectively, (0, 1)) vectors in the alternating cone are sums of characteristic vectors of closed alternating walks (respectively, trails). We study the basic properties of the alternating cone, determine its dimension and extreme rays, and relate its dimension to the majorization order on degree sequences. We consider whether the alternating cone has integral vectors in a given box, and use residual graph techniques to reduce this problem to the one of searching for an alternating trail connecting two given vertices. The latter problem, called alternating reachability, is solved in a companion paper along with related results. (C) 2007
 
Publisher ELSEVIER SCIENCE INC
 
Date 2011-07-27T07:43:59Z
2011-12-26T12:56:20Z
2011-12-27T05:44:50Z
2011-07-27T07:43:59Z
2011-12-26T12:56:20Z
2011-12-27T05:44:50Z
2007
 
Type Article
 
Identifier LINEAR ALGEBRA AND ITS APPLICATIONS, 423(2-3), 351-365
0024-3795
http://dx.doi.org/10.1016/j.laa.2007.01.013
http://dspace.library.iitb.ac.in/xmlui/handle/10054/7160
http://hdl.handle.net/10054/7160
 
Language en